Given numbers are 570,442,519,579,984

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 570,442,519,579,984 is 689786022120.

Find LCM of 570,442,519,579,984 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 95 x 221 x 173 x 193 x 164 = 689786022120

Therefore, the lowest common multiple of 570,442,519,579,984 is 689786022120.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

570 x 442 x 519 x 579 x 984 = 74496890388960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

442 : 1, 2, 13, 17, 26, 34, 221, 442

519 : 1, 3, 173, 519

579 : 1, 3, 193, 579

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,442,519,579,984, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

442:2x 13x 17

519:3x 173

579:3x 193

984:2x 2x 2x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 74496890388960/(1x108)

LCM = 74496890388960/108

LCM = 689786022120

Thus, we can understand that the LCM of 570,442,519,579,984 is 689786022120.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 275, 580, 325, 728, 232
• LCM of 990, 752, 931, 872, 729
• LCM of 752, 611, 678, 398, 777
• LCM of 597, 660, 779, 638, 419
• LCM of 856, 684, 774, 222, 968

1. What is the LCM of 570, 442, 519, 579, 984?

Answer: LCM of 570, 442, 519, 579, 984 is 689786022120.

2. How to calculate the LCM of 570, 442, 519, 579, 984?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 570, 442, 519, 579, 984.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.